Qualitative optimization of Fuzzy Causal Rule Bases using Fuzzy Boolean Nets

Authors:
João Paulo Carvalho;José Tomé
Affiliations:
INESC-ID, R. Alves Redol 29, 1000-029 Lisboa, Portugal and Instituto Superior Técnico, Universidade Técnica de Lisboa, 1000 Lisboa, Portugal;INESC-ID, R. Alves Redol 29, 1000-029 Lisboa, Portugal and Instituto Superior Técnico, Universidade Técnica de Lisboa, 1000 Lisboa, Portugal
Venue:
Fuzzy Sets and Systems
Year:
2007

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Abstract

Fuzzy Causal Rule Bases (FCRb) are widely used and are the most important rule bases in Rule Based Fuzzy Cognitive Maps (RB-FCM). However, FCRb are subject to several restrictions that create difficulties in their creation and completion. This paper proposes a method to optimally complete FCRb using Fuzzy Boolean Net properties as qualitative universal approximators. Although the proposed approach focuses on FCRb, it can be generalized to any fuzzy rule base.